This is LaTeX code:
[latex]
\pi\int_{-2}^2 (z^2+1)\,dz+\pi\int_2^{\sqrt{24}}(6-\frac{z^2}{4})dz+\\ +\pi\int_{-\sqrt{24}}^{-2}(6-\frac{z^2}{4})dz
[/latex]